In this album we include the so called Supermathematics functions (SMF), which constitutethe base for, most often, generating, technical, neo-geometrical objects, therefore less artistic.These functions are the results of 38 years of research, which began at University of Stuttgart in1969. Since then, 42 related works have been published, written by over 19 authors, as shown in the References.The name was given by the regretted mathematician Professor Emeritus Doctor EngineerGheorghe Silas who, at the presentation of the very first work in this domain, during the FirstNational Conference of Vibrations in Machine Constructions, Timişoara, Romania, 1978, namedCIRCULAR EX-CENTRIC FUNCTIONS, declared: “Young man, you just discovered not only“some functions, but a new mathematics, a supermathematics!” I was glad, at my age of 40, like a teenager. And I proudly found that he might be right!The prefix super is justified today, to point out the birth of the new complements inmathematics, joined together under the name of Ex-centric Mathematics (EM), with much moreimportant and infinitely more numerous entities than the existing ones in the actual mathematics,which we are obliged to call it Centric Mathematics (CM.)To each entity from CM corresponds an infinity of similar entities in EM, therefore theSupermathematics (SM) is the reunion of the two domains: SM = CM ∪ EM, where CM is aparticular case of null ex-centricity of EM. Namely, CM = SM(e = 0). To each known function inCM corresponds an infinite family of functions in EM, and in addition, a series of new functionsappear, with a wide range of applications in mathematics and technology.